1254216586896 has 1440 divisors, whose sum is σ = 4960092533760. Its totient is φ = 286736744448.

The previous prime is 1254216586877. The next prime is 1254216586937. The reversal of 1254216586896 is 6986856124521.

1254216586896 is a `hidden beast` number, since 1 + 2 + 5 + 42 + 1 + 6 + 586 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3417483705 + ... + 3417484071.

It is an arithmetic number, because the mean of its divisors is an integer number (3444508704).

Almost surely, 2^{1254216586896} is an apocalyptic number.

1254216586896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1254216586896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480046266880).

1254216586896 is an abundant number, since it is smaller than the sum of its proper divisors (3705875946864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1254216586896 is a wasteful number, since it uses less digits than its factorization.

1254216586896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 461 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 1254216586896 in words is "one trillion, two hundred fifty-four billion, two hundred sixteen million, five hundred eighty-six thousand, eight hundred ninety-six".